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Finding the Fourth Proportional to 282,974, 390,559.58 and 162,196.24

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Solution

The fourth proportional to 282,974, 390,559.58 and 162,196.24 is: 223,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,974 : 390,559.58 = 162,196.24 : x
  2. Step 2: Convert to fraction form
    282,974/390,559.58 = 162,196.24/x
  3. Step 3: Cross multiply
    282,974x = 390,559.58 × 162,196.24
  4. Step 4: Simplify right side
    282,974x = 63,347,295,371.98
  5. Step 5: Solve for x
    x = 63,347,295,371.98/282,974
  6. Step 6: Final answer
    x = 223,862.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.